Grassmannian line packing
WebApr 26, 2024 · Recently, Bodmann and Haas [ 3] presented a construction of orthoplex packings in Grassmannian spaces from mutually unbiased bases and block designs. In … WebMay 15, 2003 · The codebook design criterion exploits the quantization problem's relationship with Grassmannian line packing. Systems using the beamforming codebooks are shown to have a diversity order of the product of the number of transmit and the number of receive antennas. Monte Carlo simulations compare the performance of systems …
Grassmannian line packing
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http://neilsloane.com/grass/ WebPackings in Grassmannian spaces 805 Although Grassmannian packings have been studied for 20 years, there are only a few …
WebIEEETRANSACTIONSONVEHICULARTECHNOLOGY,VOL.55,NO.2,MARCH2006 719 Unfortunately, obtaining knowledge of the current channel at the ... WebFor a Grassmannian Gr(n,k), my guess is that line bundles are indexed by the integers, the generator line bundle being the k-th exterior power of the tautological k-dimensional …
WebOct 14, 2003 · Grassmannian beamforming for multiple-input multiple-output wireless systems Abstract: Transmit beamforming and receive combining are simple methods for … WebSep 7, 2015 · If such an optimal vector set exists, it is an equiangular tight frame and represents the solution to a Grassmannian line packing problem. Best Complex Antipodal Spherical Codes (BCASCs) are the best vector sets with respect to the coherence.
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In mathematics, the Grassmannian Gr(k, V) is a space that parameterizes all k-dimensional linear subspaces of the n-dimensional vector space V. For example, the Grassmannian Gr(1, V) is the space of lines through the origin in V, so it is the same as the projective space of one dimension lower than V. When … See more By giving a collection of subspaces of some vector space a topological structure, it is possible to talk about a continuous choice of subspace or open and closed collections of subspaces; by giving them the structure of a See more To endow the Grassmannian Grk(V) with the structure of a differentiable manifold, choose a basis for V. This is equivalent to identifying it with V = K with the standard basis, denoted $${\displaystyle (e_{1},\dots ,e_{n})}$$, viewed as column vectors. Then for any k … See more In the realm of algebraic geometry, the Grassmannian can be constructed as a scheme by expressing it as a representable functor See more For k = 1, the Grassmannian Gr(1, n) is the space of lines through the origin in n-space, so it is the same as the projective space of … See more Let V be an n-dimensional vector space over a field K. The Grassmannian Gr(k, V) is the set of all k-dimensional linear subspaces of V. The Grassmannian is also denoted Gr(k, … See more The quickest way of giving the Grassmannian a geometric structure is to express it as a homogeneous space. First, recall that the See more The Plücker embedding is a natural embedding of the Grassmannian $${\displaystyle \mathbf {Gr} (k,V)}$$ into the projectivization of the exterior algebra Λ V: See more ea help cant loginWebGrassmannian line packing; Welch bound; Publisher link. 10.1109/TIT.2006.876214. Find It Find It at U of M Libraries. Other files and links. Link to publication in Scopus. Link to the citations in Scopus. Cite this. APA Standard Harvard Vancouver Author BIBTEX RIS ... c# socketexceptionWebOct 11, 2024 · In this paper, to tackle the effect of the PC, we propose a block-diagonal Grassmannian line packing (GLP) approach, in which the specific sequences for different cells are first designed based on the GLP, and then are block-diagonally extended to form the SP matrices for the users in different cells. To also alleviate the effect of DI on the ... ea help centreWebJan 1, 1996 · Grassmannian packings: Trust-region stochastic tuning for matrix incoherence Conference Paper Full-text available Sep 2024 Josiah Park Carlos Saltijeral … c socket for windowsWebMay 15, 2003 · Grassmannian beamforming for multiple-input multiple-output wireless systems. Abstract: Multiple-input multiple-output (MIMO) wireless systems provides … ea help desk phone numberWebJun 29, 2015 · If you picture the straight grain being the longer threads that run in a straight line the entire length of the bolt of fabric and the crossgrain being the shorter threads … c socket header filesWebAug 1, 2002 · Packing Lines, Planes, etc.: Packings in Grassmannian Space. J.H. Conway, R.H. Hardin, N.J.A. Sloane. This paper addresses the question: how should N n … c socket example